Graphing Functions Using Reflections Practice

1. Functions ‍$f$ (solid) and ‍$g$ (dashed) are graphed.

   
   

   $f$ is defined as ‍$f(x)=-2\log_2(x+1)+3$.

   What is the equation of ‍$g$?

   Choose 1 answer:

   1. $g(x)=-2\log_2(x+1)+3$
   2. $g(x)=2\log_2(x+1)-3$
   3. $g(x)=-2\log_2(1-x)+3$

   4. $g(x)=2\log_2(1-x)-3$

2. This is the graph of function $f(x)=\sqrt[3]{x-2}$.

   
   

   What is the graph of $g(x)=-\sqrt[3]{x-2}$.
   

   Choose 1 answer:

   1. 

   2. 
      
   3. 
      

   4. 

3. Functions ‍$f$ (solid) and ‍$g$ (dashed) are graphed.

   
   

   What is the equation of ‍$g$ in terms of $f$?

   Choose 1 answer:

   1. $g(x)=f(x)$
   2. $g(x)=-f(x)$
   3. $g(x)=f(-x)$

   4. $g(x)=-f(-x)$

4. This is the graph of function $f$.

   
   

   Function $g$ is defined as $g(x)=f(-x)$.
   

   What is the graph of $g$.
   

   Choose 1 answer:

   1. 

   2. 
      
   3. 
      
   4. 
      

Source: Khan Academy, https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:reflect/e/reflect-functions
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